That is where I got engaged in 2008. (well actually it was around 3,000' higher at a rock overhang). We had planned to hike to Camp Muir (10,000' or so) which is the overnight stop if you plan to summit, but it was a whiteout halfway up and we had to turn around.
If I remember right that parking lot is only around 5,000'. I have to see if I can find a couple pictures of that trip - the banks had to be close to 15' when we were there in late May. Obviously a very memorable one for me...